What is the mean weight of a box of cereal?

A cereal company claims that the average weight of its cereal packages is 14 ounces. Eight packages are tested and the weights given below are measured. Test the claim at &#945;=.0.01

14.6, 13.8, 14.1, 13.7, 14.0, 14.4, 13.6, 14.2

Solution Preview

In the present problem, there is one sample mean; however, the population parameters are not known. Thus, we should use the single sample t-test when the µx is known, but &#963; is unknown.
Below is the test of the null hypothesis using the t-test.